5. (10 pt., 5 pt. each) Draw a Hasse diagram for each of the following partial orders. Find the maximal and minimal elements and determine whether the partial order is a total order. a. R is a partial order on the set { 1, 2, 3, 5, 7} such that (x,y) e R if and only if x y. b. R is a partial order on the set (2,3,5,7,10,25,30) such that (x, y) E R if and only if y is divisible by x. Hint: An integer y is divisible by an integer x with x exists an integer k such that y- xk. 0 if and only if there